Charmain W.

asked • 10/11/15

379 hamburgers and cheeseburgers were sold on Tuesday. 71 fewer cheeseburgers were sold than hamburgers. How many hamburgers were sold on Tuesday?

algebra with applications

Will H.

Answer: 225 Hamburgers 
 
How:
379 is your total amount of burgers. This is the beginning of your equation, 379= ... Hamburgers are what you are solving for so that is your X. Cheeseburgers are equal to hamburgers but there are 71 less of them so their variable is X - 71. When these are all put together your equation should be: 379= X + X - 71 which turns into: 379 = 2X - 71. Then, Isolate the variable by adding (+) 71 to both sides. Your equation should look like: 450 = 2X. Now, for the answer, finish isolating X by dividing by 2 to both sides. 450/2 = 225. Your final answer is X= 225 Hamburgers.
 
To double check your answer simply subtract 71 from your answer (225) and add that number (154) and, if it is correct, it should equal 379.
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10/11/15

1 Expert Answer

By:

Kasey A. answered • 03/10/20

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Let h = the number of hamburgers and c = the number of cheeseburgers.

Then h + c = 379 (for the total number of burgers).


The question then tells us that 71 fewer cheeseburgers were sold than hamburgers.

This means that (# of hamburgers) - (# of cheeseburgers) = 71 or

h - c = 71.


h + c = 379

h - c = 71


By eliminating c, we get

2h = 450 and

h = 225


We can double check our answer by plugging h into either of the equations. For example:

225 + c = 379 so c = 154.


379-154 is indeed 71, so we know our answer is correct.

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